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Finding the Fourth Proportional to 2,468.54, 3,701.52 and 887

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Solution

The fourth proportional to 2,468.54, 3,701.52 and 887 is: 1,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.54 : 3,701.52 = 887 : x
  2. Step 2: Convert to fraction form
    2,468.54/3,701.52 = 887/x
  3. Step 3: Cross multiply
    2,468.54x = 3,701.52 × 887
  4. Step 4: Simplify right side
    2,468.54x = 3,283,248.24
  5. Step 5: Solve for x
    x = 3,283,248.24/2,468.54
  6. Step 6: Final answer
    x = 1,330.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.